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3 years ago

Which of the following verifies that AABC is similar to A DEF?

Mathematics

2 answers:

Karolina [17]3 years ago

7 0

The answer is D. sas theorem

emmainna [20.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.

The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.

A is incorrect because the similarity can be determined.

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Select all expressions that represent the area of the given triangle

Mice21 [21]

Answer:

A=1/2(12x16)

Step-by-step explanation:

because it's the area of the square divided by two

3 0

3 years ago

A figure with 6 edges. How many edges does this figure have? It has edges.

Anestetic [448]

Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.

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2 years ago

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

Answer-

The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .

Solution-

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago

How many liters will a U.S. 6-quart container hold? Round your answer to the nearest hundredth

vovikov84 [41]

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8 0

3 years ago

Read 2 more answers

Determine whether the ratios 35 feet every 15 seconds and 7 feet every 2 seconds are equivalent.

murzikaleks [220]

Answer:

Step-by-step explanation:

Find the rate of those two statements:

28 ÷ 16 = 1.75

1.75 ft per seconds

7 ÷ 4 = 1.75

1.75 ft per seconds

Two statements have the same rate, therefore 28 feet every 16 seconds and 7 feet every 4 seconds are equivalent

5 0

1 year ago